10750813671000 has 768 divisors, whose sum is σ = 37808457523200. Its totient is φ = 2527873920000.

The previous prime is 10750813670959. The next prime is 10750813671001. The reversal of 10750813671000 is 17631805701.

10750813671000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10750813671000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10750813671001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2960839185 + ... + 2960842815.

It is an arithmetic number, because the mean of its divisors is an integer number (49229762400).

Almost surely, 2^{10750813671000} is an apocalyptic number.

10750813671000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10750813671000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18904228761600).

10750813671000 is an abundant number, since it is smaller than the sum of its proper divisors (27057643852200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10750813671000 is a wasteful number, since it uses less digits than its factorization.

10750813671000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The spelling of 10750813671000 in words is "ten trillion, seven hundred fifty billion, eight hundred thirteen million, six hundred seventy-one thousand".